No I'm pretty sure you'd still get career politicians. When I worked at McDonalds, some of the people had worked there for more than 10 years.... at McDonalds.
So instead of getting career politicians who are educated but corrupt (not stupid), you would get politicians who are uneducated, corrupt, and stupid. You know how you keep asking yourself how idiots like Sarah Palin manage to get any kind of following? Guess who follows them. The McDonalds cashier guy who would gladly be a career politician for 35k per year plus benefits. Trust me when I say you absolutely do not want my former coworkers having that much power.
Also, I think you know what kind of political leaning people making 35k per year tend to have. Fuck rich people, we need more socialism, let's make random environmental laws without going in baby steps or considering the cost, etc.
Depends how long the term is. 1251 * 12 months * 2 years = $30,000
My parents make approximately the median income in my city, and at age 60 they were able to buy 2 cars in the same year in cash without financing. How old is the average senator? Could a 60 year old senator save enough money over the past 40 years to pay cash for a cadillac? I would guess probably yeah.